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Finding the Fourth Proportional to 485,215.80, 727,694.10 and 148,255.80

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Solution

The fourth proportional to 485,215.80, 727,694.10 and 148,255.80 is: 222,344.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,215.80 : 727,694.10 = 148,255.80 : x
  2. Step 2: Convert to fraction form
    485,215.80/727,694.10 = 148,255.80/x
  3. Step 3: Cross multiply
    485,215.80x = 727,694.10 × 148,255.80
  4. Step 4: Simplify right side
    485,215.80x = 107,884,870,950.78
  5. Step 5: Solve for x
    x = 107,884,870,950.78/485,215.80
  6. Step 6: Final answer
    x = 222,344.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.